What is (f+g)(x)?f(x)=–x2–5xg(x)=–3x2Write your answer as a polynomial or a rational function in simplest form.
Question
What is (f+g)(x)?f(x)=–x2–5xg(x)=–3x2Write your answer as a polynomial or a rational function in simplest form.
Solution
The function (f+g)(x) is found by adding the functions f(x) and g(x) together.
f(x) = -x^2 - 5x g(x) = -3x^2
So, (f+g)(x) = f(x) + g(x) = (-x^2 - 5x) + (-3x^2)
Simplify by combining like terms:
(f+g)(x) = -x^2 - 3x^2 - 5x = -4x^2 - 5x
So, (f+g)(x) = -4x^2 - 5x is the polynomial in simplest form.
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